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Finding the Fourth Proportional to 9,568.35, 14,295.92 and 9,241.44

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Solution

The fourth proportional to 9,568.35, 14,295.92 and 9,241.44 is: 13,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.35 : 14,295.92 = 9,241.44 : x
  2. Step 2: Convert to fraction form
    9,568.35/14,295.92 = 9,241.44/x
  3. Step 3: Cross multiply
    9,568.35x = 14,295.92 × 9,241.44
  4. Step 4: Simplify right side
    9,568.35x = 132,114,893.51
  5. Step 5: Solve for x
    x = 132,114,893.51/9,568.35
  6. Step 6: Final answer
    x = 13,807.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.